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1.11.2 Integrating standard functions

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Question 45

A laboratory technician models the rate of change of the volume, VVV, of a liquid in a cooling system. The model used is

dVdt=5t2+46t3,t>0 \frac{dV}{dt} = \frac{5t^2 + 4}{6t^3}, \quad t > 0 dtdV​=6t35t2+4​,t>0

where ttt is the time in hours. Determine the general expression for VVV in terms of ttt, giving your answer in simplest form.

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1.11.2 Integrating standard functions Questions

  1. A Level
  2. /Maths
  3. /1.11.2 Integrating standard functions

139 exam-style questions on AQA A Level Maths 1.11.2 Integrating standard functions. Each one has a worked solution and a mark scheme showing where the marks go.

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